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Finding the Fourth Proportional to 1,230.92, 1,846.38 and 365.23

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Solution

The fourth proportional to 1,230.92, 1,846.38 and 365.23 is: 547.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,230.92 : 1,846.38 = 365.23 : x
  2. Step 2: Convert to fraction form
    1,230.92/1,846.38 = 365.23/x
  3. Step 3: Cross multiply
    1,230.92x = 1,846.38 × 365.23
  4. Step 4: Simplify right side
    1,230.92x = 674,362.47
  5. Step 5: Solve for x
    x = 674,362.47/1,230.92
  6. Step 6: Final answer
    x = 547.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.